The technique you're looking for is called Candling. I used to do this when I made the flu vaccine.
Its basically a light with a rubber cup on it to focus the light into the egg. Works really well.
Here's a random website that seems to have good info:
I usually don't care but that time while boiling, the egg exploded something that looked like feather , so I had this question I asked , but when I cut it I found it's a normal egg
Candling like others have said but also in case you didn't know, it is safe to eat a fertilised egg. Obviously if the chick is developed it'd be quite unpleasant but in the early stages I've heard it tastes the same as unfertilised.